Characters of nilpotent groups

DOI10.1017/S0305004100062009zbMath0549.43004OpenAlexW2165735593MaRDI QIDQ3343122

William Moran, Alan L. Carey

Publication date: 1984

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100062009

zbMATH Keywords

charactersprimitive idealsdiscrete nilpotent groups

Mathematics Subject Classification ID

Positive definite functions on groups, semigroups, etc. (43A35) Analysis on general topological groups (22A10)

Related Items

Classification of \( C^\ast\)-algebras generated by representations of the unitriangular group \(U T(4, \mathbb{Z})\), A Kirillov theory for divisible nilpotent groups, Induced characters, Mackey analysis and primitive ideal spaces of nilpotent discrete groups, Primitive ideal spaces, characters, and Kirillov theory for discrete nilpotent groups, Characters of algebraic groups over number fields, Characters of the group \(\mathrm{EL}_d (\mathcal{R})\) for a commutative Noetherian ring \(\mathcal{R}\), Quasidiagonal representations of nilpotent groups, Finitely generated nilpotent group \({C}^\ast\)-algebras have finite nuclear dimension, On twisted group -algebras associated with FC-hypercentral groups and other related groups, Unnamed Item, Infinite characters on \(\textit{GL}_{n}(\mathbf{Q})\), on \(SL_{n}(Z)\), and on groups acting on trees

Cites Work

• Characters of connected Lie groups
• Groups with \(T_1\) primitive ideal spaces
• Nilpotent groups
• On representations of discrete, finitely generated, torsion-free, nilpotent groups
• The local structure of twisted covariance algebras
• Structure in simplexes
• Strict Ergodicity and Transformation of the Torus
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